Answered

how fast must a 58kg mountaineer climb a hill that has a slope of 16 degrees to come up with a power output of 1.0 hp?

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Answer:

1 hp = 476 watts = 746 N-m/s

Going up a 16 degree hill,

h=distance *sin 16

Work = mgh

Power = W/time = mgh/t = mg

distance * sin 16 * distance/time

Power = mg *sin16 *speed

Speed = power / (mg sin16)

Speed = 746 / (58* 9.8* sin16)=4.76 m/s

Explanation:

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